Atkin-Lehner |
3+ 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30225d |
Isogeny class |
Conductor |
30225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1981440 |
Modular degree for the optimal curve |
Δ |
-3.4551037763855E+21 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -2 5 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,472742,-2825449332] |
[a1,a2,a3,a4,a6] |
Generators |
[46687:10088587:1] |
Generators of the group modulo torsion |
j |
747782559778770944/221126641688671875 |
j-invariant |
L |
2.2783809857408 |
L(r)(E,1)/r! |
Ω |
0.066149425073394 |
Real period |
R |
8.6107361598869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90675s1 6045k1 |
Quadratic twists by: -3 5 |